Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model
We study the connection between Zamolodchikov operator-valued relations in Liouville field theory and in the SL(2, ℝ)k WZNW model. In particular, the classical relations in SL(2, ℝ)k can be formulated as a classical Liouville hierarchy in terms of the isotopic coordinates, and their covariance is ea...
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2005
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| LEADER | 10795caa a22009257a 4500 | ||
|---|---|---|---|
| 001 | PAPER-22154 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205341.0 | ||
| 008 | 190411s2005 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-13844271128 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a NUPBB | ||
| 100 | 1 | |a Bertoldi, G. | |
| 245 | 1 | 0 | |a Zamolodchikov relations and Liouville hierarchy in SL(2, R)k WZNW model |
| 260 | |c 2005 | ||
| 270 | 1 | 0 | |m Bertoldi, G.; Department of Physics, University of Wales Swansea, Swansea SA2 8PP, United Kingdom |
| 506 | |2 openaire |e Política editorial | ||
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| 520 | 3 | |a We study the connection between Zamolodchikov operator-valued relations in Liouville field theory and in the SL(2, ℝ)k WZNW model. In particular, the classical relations in SL(2, ℝ)k can be formulated as a classical Liouville hierarchy in terms of the isotopic coordinates, and their covariance is easily understood in the framework of the AdS3/ CFT2 correspondence. Conversely, we find a closed expression for the classical Liouville decoupling operators in terms of the so-called uniformizing Schwarzian operators and show that the associated uniformizing parameter plays the same role as the isotopic coordinates in SL(2, ℝ)k. The solutions of the jth classical decoupling equation in the WZNW model span a spin j reducible representation of SL(2, ℝ). Likewise, we show that in Liouville theory solutions of the classical decoupling equations span spin j representations of SL(2, ℝ), which is interpreted as the isometry group of the hyperbolic upper half-plane. © 2005 Elsevier B.V. All rights reserved. |l eng | |
| 536 | |a Detalles de la financiación: Fundación Antorchas | ||
| 536 | |a Detalles de la financiación: Universidad de Buenos Aires, HPRN-CT-2000-00131 | ||
| 536 | |a Detalles de la financiación: Ministry of Education, Culture, Sports, Science and Technology | ||
| 536 | |a Detalles de la financiación: We would like to thank Giulio Bonelli, Juan Maldacena and Luca Mazzucato for discussions. G. Bertoldi is supported by the Foundation BLANCEFLOR Boncompagni-Ludovisi, née Bildt. G. Giribet is supported by the Institute for Advanced Study and Fundación Antorchas (on leave from Universidad de Buenos Aires). M. Matone is partially supported by the European Community's Human Potential Programme under contract HPRN-CT-2000-00131 Quantum Spacetime. Y. Nakayama is supported in part by a Grant for 21st Century COE Program “QUESTS” from the Ministry of Education, Culture, Sports, Science, and Technology of Japan. Appendix A | ||
| 593 | |a Department of Physics, University of Wales Swansea, Swansea SA2 8PP, United Kingdom | ||
| 593 | |a Scuola Normale Superiore, Piazza Dei Cavalieri 7, 56126 Pisa, Italy | ||
| 593 | |a INFN, Sezione di Pisa, Pisa, Italy | ||
| 593 | |a Universidad de Buenos Aires, Ciudad Universitaria 1428, Pabellon I, Buenos Aires, Argentina | ||
| 593 | |a Dipartimento di Fisica G. Galilei, Università di Padova, Via Marzolo 8, 35131 Padova, Italy | ||
| 593 | |a INFN, Sezione di Padova, Padova, Italy | ||
| 593 | |a Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan | ||
| 700 | 1 | |a Bolognesi, S. | |
| 700 | 1 | |a Giribet, G. | |
| 700 | 1 | |a Matone, M. | |
| 700 | 1 | |a Nakayama, Y. | |
| 773 | 0 | |d 2005 |g v. 709 |h pp. 522-549 |k n. 3 |p Nucl. Phys. B |x 05503213 |w (AR-BaUEN)CENRE-286 |t Nuclear Physics B | |
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